Somos-4 and Somos-5 are arithmetic divisibility sequences
Number Theory
2015-05-04 v1
Abstract
We provide an elementary proof to a conjecture by Robinson that multiples of (powers of) primes in the Somos-4 sequence are equally spaced. We also show, almost as a corollary, for the generalised Somos-4 sequence defined by and initial values , that the polynomial is a divisor of for all and establish a similar result for the generalized Somos-5 sequence.
Cite
@article{arxiv.1505.00194,
title = {Somos-4 and Somos-5 are arithmetic divisibility sequences},
author = {Peter H van der Kamp},
journal= {arXiv preprint arXiv:1505.00194},
year = {2015}
}
Comments
9 pages